Michael Pretko
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Fractons from polarons Open
Fractons are a type of emergent quasiparticle which cannot move freely in isolation, but can easily move in bound pairs. Similar phenomenology is found in boson-affected hopping models, encountered in the study of polaron systems and hole-…
Odd fracton theories, proximate orders, and parton constructions Open
The Lieb-Schultz-Mattis (LSM) theorem implies that gapped phases of matter must satisfy nontrivial conditions on their low-energy properties when a combination of lattice translation and \nU\n(\n1\n)\n symmetry are imposed. We describe a f…
Electric circuit realizations of fracton physics Open
We design a set of classical macroscopic electric circuits in which charge\nexhibits the mobility restrictions of fracton quasiparticles. The crucial\ningredient in these circuits is a transformer, which induces currents between\npairs of …
Erratum: Localization in Fractonic Random Circuits [Phys. Rev. X <b>9</b>, 021003 (2019)] Open
Received 17 May 2019Revised 5 October 2019DOI:https://doi.org/10.1103/PhysRevX.9.049901Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this w…
Crystal-to-fracton tensor gauge theory dualities Open
We demonstrate several explicit duality mappings between elasticity of two-dimensional crystals and fracton tensor gauge theories, expanding on recent works by two of the present authors. We begin by dualizing the quantum elasticity theory…
Dynamical Scar States in Driven Fracton Systems Open
One-dimensional fracton systems can exhibit perfect localization, failing to reach thermal equilibrium under arbitrary local unitary time evolution. We investigate how this nonergodic behavior manifests in the dynamics of a driven fracton …
Unitary-projective entanglement dynamics Open
Starting from a state of low quantum entanglement, local unitary time\nevolution increases the entanglement of a quantum many-body system. In\ncontrast, local projective measurements disentangle degrees of freedom and\ndecrease entanglemen…
Fractons from Polarons and Hole-Doped Antiferromagnets: Microscopic Models and Realization Open
Fractons are a type of emergent quasiparticle which cannot move freely in isolation, but can easily move in bound pairs. Similar phenomenology is found in boson-affected hopping models, encountered in the study of polaron systems and hole-…
Manifestation of quantum many-body scars in fracton systems Open
One-dimensional fracton systems can exhibit perfect localization, failing to reach thermal equilibrium under arbitrary local unitary time evolution. We investigate how this nonergodic behavior manifests in the dynamics of a driven fracton …
Robust quantum many-body scars in fracton systems Open
One-dimensional fracton systems can exhibit perfect localization, failing to reach thermal equilibrium under arbitrary local unitary time evolution. We investigate how this nonergodic behavior manifests in the dynamics of a driven fracton …
Symmetry-Enriched Fracton Phases from Supersolid Duality Open
Motivated by the recently established duality between elasticity of crystals and a fracton tensor gauge theory, we combine it with boson-vortex duality, to explicitly account for bosonic statistics of the underlying atoms. We thereby deriv…
Pinch point singularities of tensor spin liquids Open
Recently, a new class of three-dimensional spin liquid models have been theoretically discovered, which feature generalized Coulomb phases of emergent symmetric tensor U(1) gauge theories. These “higher rank” tensor models are particularly…
ac conductivity crossover in localized superconductors Open
An important experimental signature of localization is the low-frequency AC\nconductivity, which typically vanishes as $\\omega^{\\phi}$. The exponent $\\phi =\n2$ for Anderson insulators, whereas for many body localized insulators $\\phi$…
Localization of extended quantum objects Open
A quantum system of particles can exist in a localized phase, exhibiting\nergodicity breaking and maintaining forever a local memory of its initial\nconditions. We generalize this concept to a system of extended objects, such as\nstrings a…
View article: The fracton gauge principle
The fracton gauge principle Open
A powerful mechanism for constructing gauge theories is to start from a\ntheory with a global symmetry, then apply the "gauge principle," which demands\nthat this symmetry hold locally. For example, the global phase rotation of a\nsystem o…
Higher-rank deconfined quantum criticality at the Lifshitz transition and the exciton Bose condensate Open
Deconfined quantum critical points are characterized by the presence of an emergent gauge field and exotic fractionalized particles, which exist as well-defined excitations only at the critical point. We here demonstrate the existence of q…
Weak measurements limit entanglement to area law (with possible log corrections) Open
Starting from a state of low quantum entanglement, local unitary time evolution increases the entanglement of a quantum many-body system. In contrast, local projective measurements disentangle degrees of freedom and decrease entanglement. …
Weak Measurements Limit Entanglement to Area Law Open
Starting from a state of low quantum entanglement, local unitary time evolution increases the entanglement of a quantum many-body system. In contrast, local projective measurements disentangle degrees of freedom and decrease entanglement. …
Localization in fractonic random circuits Open
We study the spreading of initially-local operators under unitary time evolution in a 1d random quantum circuit model which is constrained to conserve a $U(1)$ charge and its dipole moment, motivated by the quantum dynamics of fracton phas…
Pinch Point Singularities of Tensor Spin Liquids Open
Recently, a new class of three-dimensional spin liquid models have been theoretically discovered, which feature generalized Coulomb phases of emergent symmetric tensor $U(1)$ gauge theories. These "higher rank" tensor models are particular…
Fractonic line excitations: An inroad from three-dimensional elasticity theory Open
We demonstrate the existence of a fundamentally new type of excitation,\nfractonic lines, which are line-like excitations with the restricted mobility\nproperties of fractons. These excitations, described using an amalgamation of\nhigher-f…
Fracton-Elasticity Duality Open
Motivated by recent studies of fractons, we demonstrate that elasticity theory of a two-dimensional quantum crystal is dual to a fracton tensor gauge theory, providing a concrete manifestation of the fracton phenomenon in an ordinary solid…
Higher Rank Deconfined Quantum Criticality and the Exciton Bose Condensate Open
Deconfined quantum critical points are characterized by the presence of an emergent gauge field and exotic fractionalized particles, which exist as well-defined excitations only at the critical point. We here demonstrate the existence of q…
Emergent phases of fractonic matter Open
Fractons are emergent particles which are immobile in isolation, but which\ncan move together in dipolar pairs or other small clusters. These exotic\nexcitations naturally occur in certain quantum phases of matter described by\ntensor gaug…
Emergent Phases of Fractonic Matter Open
Fractons are emergent particles which are immobile in isolation, but which can move together in dipolar pairs or other small clusters. These exotic excitations naturally occur in certain quantum phases of matter described by tensor gauge t…
Higher-spin Witten effect and two-dimensional fracton phases Open
We study the role of "$\\theta$ terms" in the action for three-dimensional\n$U(1)$ symmetric tensor gauge theories, describing quantum phases of matter\nhosting gapless higher-spin gauge modes and gapped subdimensional particle\nexcitation…
Finite-temperature screening of (1) fractons Open
We investigate the finite-temperature screening behavior of three-dimensional\nU(1) spin liquid phases with fracton excitations. Several features are shared\nwith the conventional U(1) spin liquid. The system can exhibit spin liquid\nphysi…
Emergent gravity of fractons: Mach’s principle revisited Open
Recent work has established the existence of stable quantum phases of matter described by symmetric tensor gauge fields, which naturally couple to particles of restricted mobility, such as fractons. We focus on a minimal toy model of a ran…